Combining traditional differential equation material with a modern qualitative and systems approach, this new edition continues to deliver flexibility of use and extensive problem sets. The 2nd edition refreshed presentation includes extensive new visuals, as well as updated exercises throughout. \nFeatures: \n1.Unique blend of traditional algebraic and modern qualitative geometric approaches\n2.Strong systems approach \n3.Novel modeling approach \n4.Flexible use of technology table of Contents: \nChapter 1: Introduction to differential equations \nChapter 2: First-Order equations \nChapter 3: modeling and applications \nChapter 4: Second-Order equations \nChapter 5: The Laplace transform \nChapter 6: Numerical methods \nChapter 7: matrix Algebra \nChapter 8: An introduction to systems \nChapter 9: Linear systems with constant coefficients \nChapter 10: nonlinear systems \nChapter 11: Series solutions to differential equations.